All Courses
Get the App Signup / Login
Sign in Open App
Class 7 Exam  >  Class 7 Notes  >  RD Sharma Solutions for Class 7 Mathematics  >  RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math

Ex - 12.1, Profit and Loss, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics PDF Download

Question 1:

Given the following values, find the unknown values:
(i) C.P. = Rs 1200,      S.P. = Rs 1350,     Profit/Loss = ?
(ii) C.P. = Rs 980,       S.P. = Rs  940,      Profit/Loss = ?
(iii) C.P. = Rs 720,      S.P. = ?,                Profit = Rs 55.50
(iv) C.P. = ?                  S.P. = Rs 1254,     Loss = Rs 32

Answer 1:

(i) CP =  Rs.. 1200, SP = Rs.. 1350  
     CP < SP.  So, profit.
     Profit = Rs. (1350 - 1200) = Rs. 150

(ii) CP = Rs. 980, SP = Rs. 940  
     CP > SP.  So, loss.
     Loss  =   Rs. (980 - 940) = Rs. 40

(iii)  CP = Rs. 720, SP = ?, profit = Rs. 55.50
       Profit = SP - CP
 ⇒   Rs. 55.50 = SP - Rs. 720
 ⇒   SP = Rs. (55.50 + 720) = Rs. 775.50

(iv) CP = ?, SP = Rs. 1254, loss = Rs. 32
 ⇒ Loss = CP - SP
 ⇒ Rs. 32 = CP - Rs. 1254
 ⇒ CP = Rs. (1254 + 32) = Rs. 1286


Question 2:

Fill in the blanks in each of the following:
(i) C.P. = Rs 1265,      S.P. = Rs 1253,    Loss = Rs .....
(ii) C.P. = Rs ....,         S.P. = Rs 450,      Profit = Rs 150
(iii) C.P. = Rs 3355,    S.P. = Rs 7355,    .... = Rs ....
(iv) C.P. = Rs ....,        S.P. = Rs 2390,    Loss = Rs 5.50

Answer 2:

(i) CP = Rs. 1265, SP = Rs. 1253  
    Loss = CP - SP = Rs. (1265 - 1253) = Rs. 12

(ii) CP = ?, SP = Rs. 450, profit = Rs. 150
      Profit = SP - CP
 ⇒  Rs. 150 = Rs. 450 - CP
 ⇒  CP = Rs. (450 - 150) = Rs. 300

(iii) CP = Rs. 3355, SP = Rs. 7355,
Here SP > CP, so profit.
    Profit = SP - CP
⇒ Profit = Rs. (7355 - 3355) = Rs. 4000

(iv) CP = ?, SP = Rs. 2390, loss = Rs. 5.50
     Loss = CP - SP
 ⇒ Rs. 5.50 = CP - Rs. 2390
 ⇒ CP = Rs. (5.50 + 2390) = Rs. 2395.50


Question 3:

Calculate the profit or loss and profit or loss per cent in each of the following cases:
(i) C.P. = Rs 4560, S.P. = Rs 5000
(ii) C.P. = Rs 2600, S.P. = Rs 2470
(iii) C.P. = Rs 332, S.P. = Rs 350
(iv) C.P. = Rs 1500, S.P. = Rs 1500

Answer 3:

(i) CP = Rs. 4560, SP = Rs. 5000    
    Here, SP > CP. So, profit.
    Profit = SP - CP = Rs. (5000 - 4560)= Rs. 440
    Profit % = {(Profit/CP) × 100}% = {(440/4560) × 100}% = {0.0965 × 100}% = 9.65%

(ii) CP = Rs. 2600, SP = Rs. 2470. Here, CP > SP.  So, loss.
    Loss = CP - SP = Rs. (2600 - 2470) = Rs. 130
    Profit% = {(Profit/CP) × 100}% =  {(130/2600) × 100}% = {0.05 ×  100}% = 5%

(iii) CP = Rs. 332, SP= Rs. 350. Here, SP > CP.  So, profit.
     Profit = SP - CP = Rs. (350 - 332) = Rs. 18
     Profit% = {(Profit/CP) × 100}%  = {(18/332) × 100}%  = {0.054  × 100}% = 5.4%

(iv) CP = Rs. 1500, SP = Rs. 1500
    SP = CP.  So, neither profit nor loss.
    

Question 4:

Find the gain or loss per cent, when:
(i) C.P. = Rs 4000 and gain = Rs 40.
(ii) S.P. = Rs 1272 and loss = Rs 328
(iii) S.P. = Rs 1820 and gain = Rs 420.

Answer 4:

(i) CP = Rs. 4000, gain = Rs. 40
    Gain % = {(Gain/CP) × 100}% = {(40/4000) × 100}% = (0.01 × 100)% = 1%

(ii) SP = Rs. 1272, loss = Rs. 328
      Loss = CP - SP
      Hence, CP = Loss+ SP = Rs. 328 + Rs. 1272 = Rs. 1600
      Loss % = {(Loss/CP) × 100}% = {(328/1600) × 100%  = 20.5%

(iii) SP = Rs. 1820, gain = Rs. 420
       Gain = SP - CP
       CP = 1820 - 420 = Rs. 1400
      Gain % = {(Gain/CP) × 100}%  = {(420/1400) × 100% = 30%
   

Question 5:

Find the gain or loss per cent, when:
(i) C.P. = Rs 2300, Overhead expenses = Rs 300 and gain = Rs 260.
(ii) C.P. = Rs 3500, Overhead expenses = Rs 150 and loss = Rs 146

Answer 5:

(i) CP = Rs. 2300, overhead expenses = Rs. 300, gain = Rs. 260
    Gain % =  {(Gain/(CP + overhead expenses)} × 100 = {260/(2300 + 300} × 100 = {260/2600} × 100 = 10%

(ii) CP = Rs. 3500, overhead expenses = Rs. 150, loss = Rs. 146

    Loss % = {( Loss/(CP + overhead expenses)} × 100 = {146/(3500+ 150)} × 100
= {146/3650} × 100
= 14600/3650 = 4%


Question 6:

A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find his total profit and the selling price of 600 quintals of rice.

Answer 6:

Cost of 1 quintal of rice = Rs. 250
Cost of 600 quintals of  rice = 600 × 250 =  Rs. 150000
Overhead expenses = Rs. 1000
Total CP = Rs. (150000 + 1000) = Rs. 151000
Profit % = (Profit/CP) × 100
7 = (P/151000) × 100
P = 1510 × 7 = Rs. 10570
Profit = Rs. 10570
SP = CP + profit = Rs. (151000 + 10570) = Rs. 161570


Question 7:

Naresh bought 4 dozen pencils at Rs 10.80 a dozen and sold them for 80 paise each. Find his gain or loss percent.

Answer 7:

Cost of 1 dozen pencils = Rs. 10.80
Cost of 4 dozen pencils = 4 × 10.80 =  Rs. 43.2

Selling price of each pencil = 80 paise
Total number of pencils = 12 × 4 = 48
SP of 48 pencils = 48 × 80 paise = 3840 paise = Rs. 38.40

Here, SP < CP.
Loss = CP - SP = Rs. (43.2 - 38.4) = Rs. 4.8
Loss % = (Loss/CP) × 100 = (4.8/43.2) × 100 = 480/43.2 = 11.11%


Question 8:

A vendor buys oranges at Rs 26 per dozen and sells them at 5 for Rs 13. Find his gain per cent.

Answer 8:

CP of 1 dozen oranges = Rs. 26
CP of 1 orange = 26/12 = Rs. 2.16
CP of 5 oranges = 2.16 × 5 = Rs. 10.8

Now, SP of  5 oranges = Rs. 13

Gain = SP - CP = Rs. (13 - 10.8) = Rs. 2.2
Gain % = (Gain/CP) × 100 = (2.2/10.8) × 100 = 20.3%


Question 9:

Mr Virmani purchased a house for Rs 365000 and spent Rs 135000 on its repairs. If he sold it for Rs 550000, find his gain percent.

Answer 9:

Amount Mr. Virmani paid to purchase the house = Rs. 365000
Amount he spent on repair = Rs. 135000
Total amount he spent on the house (CP) = Rs. (365000 + 135000) = Rs. 500000
SP of the house = Rs. 550000
Gain = SP - CP = Rs. (550000 - 500000) = Rs. 50000

Gain % = (Gain/CP) ×  100 = (50000/500000) × 100 = 5000000/500000 = 10%


Question 10:

Shikha purchased a wrist watch for Rs 840 and sold it to her friend Vidhi for Rs 910. Find her gain percent.

Answer 10:

The cost price of the wristwatch that Shikha purchased, CP = Rs. 840
The price at which she sold it, SP = Rs. 910
Gain = SP - CP
         = (910 - 840) = Rs. 70

Gain % = (Gain/CP) ×  100 = (70/840) × 100 = 7000/840 = 8.3%


Question 11:

A business man makes a 10% profit by selling a toy costing him Rs 120. What is the selling price?

Answer 11:

CP = Rs. 12
Profit % = 10
We now that

SP = {(100 + profit %)/100} × CP
        = {(100+ 10)/100} ×  120
       = {(110/100)} × 120 = 1.1 × 120 = Rs. 132


Question 12:

Harish purchased 50 dozen bananas for Rs 135. Five dozen bananas could not be sold because they were rotten. At what price per dozen should Harish sell the remaining bananas so that he makes a profit of 20%?

Answer 12:

Cost price of 50 dozens bananas that Harish purchased, CP = Rs. 135

Bananas left after removing 5 dozen rotten bananas = 45 dozens

Effective CP of one dozen bananas = Rs. 135/45 = Rs. 3

Calculating the price at which Harish should sell each dozen bananas to make a profit of 20% (or 1/5), we get
Profit = Gain/CP =  (SP - CP)/CP
15 = SP− 33SP = Rs. 3.6015 = SP- 33SP = Rs. 3.60

Harish should sell the bananas at Rs. 3.60 a dozen in order to make a profit of 20%.


Question 13:

A woman bought 50 dozen eggs at Rs 6.40 a dozen. Out of these 20 eggs were found to be broken. She sold the remaining eggs at 55 paise per egg. Find her gain or loss percent.

Answer 13:

Cost of one dozen eggs = Rs. 6.40
Cost of 50 dozen eggs = 50 × 6.40 = Rs. 320

Total number of eggs = 50 × 12 = 600
Number of eggs left after removing the broken ones = 600 - 20 = 580

SP of 1 egg = 55 paise
So, SP  of 580 eggs = 580 × 55 = 31900 paise = Rs. 31900/100 = Rs. 319

Loss = CP - SP = Rs. (320-319) = Re. 1
Loss % = (Loss/CP) × 100 = (1/320) × 100 = 0.31%


Question 14:

Jyotsana bought 400 eggs at Rs 8.40 a dozen. At what price per hundred must she sell them so as to earn a profit of 15%?

Answer 14:

Cost of eggs per dozen = Rs. 8.40
Cost of 1 egg = 8.40/12 = Rs. 0.7
Cost of 400 eggs = 400 × 0.7 = Rs. 280
Calculating the price at which Jyotsana should sell the eggs to earn a profit of 15%, we get
15% of 280 + 280
=  {(15/100) × 280} + 280 = {4200/100} + 280 = 42 + 280 = Rs. 322

So, Jyotsana must sell the 400 eggs for Rs. 322 in order to earn a profit of 15%.
Therefore, the SP per one hundred eggs = Rs. 322/4 = Rs. 80.50.


Question 15:

A shopkeeper makes a profit of 15% by selling a book for Rs 230. What is the C.P. and the actual profit?

Answer 15:

Given that the SP of a book = Rs. 230
Profit % = 15
Since
CP = (SP × 100) ÷ (100 + profit %)
CP = (230× 100)  ÷ (100 + 15)
CP = 23000 ÷ 115 = Rs. 200
Also,
Profit = SP - CP = Rs. (230 - 200) = Rs. 30
Actual profit = Rs. 30


Question 16:

A bookseller sells all his books at a profit of 10%. If he buys a book from the distributor at Rs 200, how much does he sell it for?

Answer 16:

Given
Profit % = 10%
CP = Rs. 200
Since
SP = {(100 + profit %)/100} × CP
     = {(100 + 10)/100} × 200
    = {110/100} × 200
   = Rs. 220

The bookseller sells the book for Rs. 220.


Question 17:

A flowerist buys 100 dozen roses at Rs 2 a dozen. By the time the flowers are delivered, 20 dozen roses are multilated and are thrown away. At what price should he sell the rest if he needs to make a 20% profit on his purchase?

Answer 17:

Cost of 1 dozen roses = Rs. 2
Number of roses bought by the florist = 100 dozens
Thus, cost price of 100 dozen roses = 2  × 100 =  Rs. 200

Roses left after discarding the mutilated ones = 80 dozens

Calculating the price at which the florist should sell the 80 dozen roses in order to make a profit of 20%, we have

Ex - 12.1, Profit and Loss, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics


Therefore, the SP of the roses should be Rs. 240/80 = Rs. 3 per dozen.


Question 18:

By selling an article for Rs 240, a man makes a profit of 20%. What is his C.P.? What would his profit percent be if he sold the article for Rs 275?

Answer 18:

Let CP = Rs. x
SP = Rs. 240
Let profit be Rs. P.

Now, profit % = 20%
Since
Profit % = (Profit/CP) × 100
⇒ 20 = (P/x) × 100
⇒ P = 20x/100 = x/5

Profit = SP - CP = 240 - x
⇒ P = 240 - x 
 ⇒ x/5 = 240 - x
⇒ 240 =  x + x/5
⇒ 240 = 6x/5
⇒ x = 1200/6 = 200
So, CP = Rs. 200

New SP = Rs. 275 and CP = Rs. 200
Profit % = {(SP - CP)/CP} × 100 = {(275 - 200)/200} × 100 = (75/200) × 100
= 7500/200 = 37.5%

The document Ex - 12.1, Profit and Loss, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.
All you need of Class 7 at this link: Class 7
97 docs
Join Course for Free

Top Courses for Class 7

FAQs on Ex - 12.1, Profit and Loss, Class 7, Math RD Sharma Solutions - RD Sharma Solutions for Class 7 Mathematics

1. What is the formula to calculate profit in the context of profit and loss?
Ans. The formula to calculate profit is: Profit = Selling Price - Cost Price
2. How can I calculate the selling price if I know the cost price and profit percentage?
Ans. To calculate the selling price, you can use the following formula: Selling Price = Cost Price + (Profit Percentage/100) * Cost Price
3. What is the difference between profit and profit percentage?
Ans. Profit is the actual amount earned after deducting the cost price from the selling price. Profit percentage, on the other hand, is the profit expressed as a percentage of the cost price.
4. How can I calculate the cost price if I know the selling price and profit percentage?
Ans. To calculate the cost price, you can use the following formula: Cost Price = Selling Price / (1 + Profit Percentage/100)
5. How can I calculate the profit percentage if I know the cost price and selling price?
Ans. To calculate the profit percentage, you can use the following formula: Profit Percentage = (Profit / Cost Price) * 100
Related Exams
About this Document
1.4K Views
4.83/5 Rating
Nov 27, 2024 Last updated
Document Description: RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math for Class 7 2024 is part of RD Sharma Solutions for Class 7 Mathematics preparation. The notes and questions for RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math have been prepared according to the Class 7 exam syllabus. Information about RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math covers topics like and RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math.
Introduction of RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math in English is available as part of our RD Sharma Solutions for Class 7 Mathematics for Class 7 & RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math in Hindi for RD Sharma Solutions for Class 7 Mathematics course. Download more important topics related with notes, lectures and mock test series for Class 7 Exam by signing up for free. Class 7: Ex - 12.1, Profit and Loss, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics
Description
Full syllabus notes, lecture & questions for Ex - 12.1, Profit and Loss, Class 7, Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics - Class 7 | Plus excerises question with solution to help you revise complete syllabus for RD Sharma Solutions for Class 7 Mathematics | Best notes, free PDF download
Information about RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math
In this doc you can find the meaning of RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math defined & explained in the simplest way possible. Besides explaining types of RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math tests, examples and also practice Class 7 tests
97 docs
Join Course for Free
Download as PDF
Explore Courses for Class 7 exam

Top Courses for Class 7

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Profit and Loss

,

Important questions

,

Ex - 12.1

,

Ex - 12.1

,

Extra Questions

,

Previous Year Questions with Solutions

,

Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

,

Objective type Questions

,

ppt

,

Exam

,

Ex - 12.1

,

Free

,

Viva Questions

,

Profit and Loss

,

Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

,

Summary

,

MCQs

,

Profit and Loss

,

Semester Notes

,

Sample Paper

,

Class 7

,

pdf

,

Class 7

,

past year papers

,

practice quizzes

,

Class 7

,

mock tests for examination

,

video lectures

,

study material

,

shortcuts and tricks

,

Math RD Sharma Solutions | RD Sharma Solutions for Class 7 Mathematics

;
Additional Information about RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math for Class 7 Preparation

RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Free PDF Download

The RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math is an invaluable resource that delves deep into the core of the Class 7 exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math now and kickstart your journey towards success in the Class 7 exam.

Importance of RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math

The importance of RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math cannot be overstated, especially for Class 7 aspirants. This document holds the key to success in the Class 7 exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Notes

RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math. It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Notes on EduRev are your ultimate resource for success.

RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Class 7 Questions

The "RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math on the App

Students of Class 7 can study RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of RD Sharma Solutions - Ex - 12.1, Profit and Loss, Class 7, Math is prepared as per the latest Class 7 syllabus.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup